EJMT Abstract

We demonstrate how evolving technological tools have led to advances in the teaching and learning of mathematics and in the production of mathematical research. In particular, the integration of dynamic geometry software (DGS) with a computer algebra system (CAS) has led to new methods for solving existing problems and has revealed the existence of new concepts waiting to be discovered. We demonstrate also how DGS software frequently provides the crucial insights and accessibility that motivate conjectures that can be proved analytically with the help of a CAS. Two video clips which give some geometric insights of how we prove Mean Value Theorem and Cauchy Mean Value are included.